Elliott Sound Products - DIY Audio Articles The Audio Pages Elliott Sound Products Audio Articles Page Last Updated - 11 May 2006 Feature Articles Updated Active Vs. Passive Crossovers - An explanation for the profound audible 11 Jan 04 differences Benefits of Bi-Amplification - Not quite magic, but close (Part I) 02 May 05 Benefits of Bi-Amplification - Crossovers, tri-amping, etc. (Part II) 02 May 05 Counterfeit (Fake!) Semiconductors - Don't you be caught with fake, below 21 Feb 06 spec transistors when you build a project! Education - Customised projects for schools, technical colleges and universities 30 Apr 03 The State of Manufacturing - This article should be a mandatory read for all 03 Sep 02 businessmen and politicians, a real wake-up call ! Phase Angle Vs. Transistor Dissipation - A simplified approach to 19 Mar 05 understanding Safe Operating Area Sound Impairment Monitor - Is This The Answer? - A new method to 23 Sep 00 monitor distortion in real time Transistor Safe Operating Area - What is SOA, and how does it affect amplifier 14 Aug 03 designs Cables The Truth About Cables, Interconnects and Audio in General - A "must 20 Sep 02 read" article More Truth About Cables - A white paper discussing speaker cables and 22 Jul 01 interconnects * Cable Impedance - Characteristic impedance, high capacitance designs and 17 Oct 03 amp stability Amplification http://sound.westhost.com/articles.htm (1 of 6)5/29/2006 12:17:11 Elliott Sound Products - DIY Audio Articles Amplifier Sound - What causes the perceived differences between amps? Is it 09 Apr 00 real or imaginary? Class- A - a discussion of the benefits of Class-A amplifiers 02 Apr 05 Clipping Behaviour - One of the lesser known effects of amplifier clipping, and 15 Oct 04 the damage it can do. Distortion & Negative Feedback - A detailed look at the way negative feedback 06 May 06 reduces distortion Musical Instrument Amplifiers - Guitar, Bass and Keyboard 04 Feb 01 Short Circuit Protection - Testing amplifiers to the limits * 22 Aug 00 Soft Clipping - Is adding a soft-clip circuit worth the effort? 15 Apr 06 The Need For Speed - Very high speed opamps from Texas Instruments 17 Aug 01 PWM Amplifiers - Theory and design concepts behind these 'new' amplifiers 25 Jun 05 Valve Amplifiers - do they really sound different - Includes a review of one of my 28 Nov 99 valve amps General Information A-B Switch Box for Amplifier Comparisons - Something to offend everyone, 15 Aug 00 or a great tool? * ABX Comparator - A true ABX system that does not need a PC or 11 Aug 02 microcontroller * AM Radio - Approaches to high fidelity AM broadcast band reception * 18 Feb 06 Capacitors - What are the influences that determine the so-called 'sound' of 25 Oct 05 capacitors. Covers dielectrics, dissipation factor, etc. CD, SACD and DVD-A -A Comparison of the formats in a discussion between 28 Aug 02 Niklas Ladberg and Ing. Öhman (very interesting) * Compression In Audio - Ever wondered why some music sounds flat and 21 Dec 01 lifeless, even though it's loud? Earthing Your Hi-Fi - Tricks and Techniques - How to eliminate hum without 30 Dec 99 affecting safety Build Your Own Heatsink? - Yes, it can be done. If you have the tools, you can 11 Feb 06 make a heatsink as big as you'll ever want. Impedance - What does it really mean? A general discussion on impedance, 24 Jan 05 damping, etc. Microphones - An introduction to the different types, polar response and 12 Jan 06 behaviour of microphones http://sound.westhost.com/articles.htm (2 of 6)5/29/2006 12:17:11 Elliott Sound Products - DIY Audio Articles Why Do Tweeters Blow? - The real reason that tweeters (and other drivers) are 28 Jul 01 destroyed by distortion What is Hi-Fi - A contributed article on some of the subtle aspects of Hi-Fi * 05 May 01 What is Hi-Fi (Part II) - Continuation of 'What is Hi-Fi' explaining the idea of 29 Mar 04 accuracy (amongst other things) Beginners' Luck - The beginners' Guide to ... Amplifier Basics - How Amps Work - How amplifiers do what they do 06 Apr 05 Amplifier Efficiency - Power Loss, DC voltages and current explained 29 Jan 00 Amplifier Troubleshooting and Repair Guide If it's broken, you may be able 27 Apr 03 to fix it. This article is designed for those new to repairs Bridging - How the "Trimode" bridging system works in car power amplifiers 20 Oct 02 Bulletin Boards - A guide to etiquette when posting at your favourite forum * 09 Apr 01 Designing With Opamps I - What they are, what they do, and how they do it 03 May 00 Designing With Opamps II - Audio applications, filters, crossovers, etc. 08 May 00 Designing With Opamps III - More Filters, Specifications, Comparators, etc. 11 May 06 Electronics - Part 1 Passive components - resistors, capacitors and inductors 13 Mar 01 explained Electronics - Part 2 The resistor 'E' series (e.g. E12, E24, etc), Zener Diodes 05 Mar 04 Meters, Multipliers & Shunts - How to use analogue and digital panel meters 06 May 06 Potentiometers. - what they are and how to use them in practical circuits. 22 Jan 03 Power - An explanation of the derivation of PMPO in amplifiers. Light reading, 19 Jun 00 really Power Supply Wiring There are a lot of considerations for the wiring of a PSU - 07 Jun 03 read about it here Tools - The first in a series on mechanical aspects of your hobby * 21 Mar 01 Transformers - Part 1 The basics of transformers, what they do, and how they 05 May 01 do it. Transformers - Part 2 The details of magnetic circuits, windings, core types and 03 Apr 01 losses Transformers - Part 3 Designing and analysing transformers - not at all for the 16 Jan 06 faint-hearted, but all very useful information. http://sound.westhost.com/articles.htm (3 of 6)5/29/2006 12:17:11 Elliott Sound Products - DIY Audio Articles Voltage Dividers & Attenuators - A short article describing how to design these 21 Dec 02 essential circuits Design Guidelines Amplifier Design - ESP's contribution to the everlasting debate 09 Jun 01 Amplifier Design With HEXFETs - Getting good performance from vertical 13 Mar 06 MOSFETs is possible (Updated) Balanced Driver with Floating Output - An in depth discussion of the design 14 Apr 02 process * Current Sources, Sinks & Mirrors - A discussion on these much 19 Feb 01 misunderstood circuits Heatsinks - An article on heatsink selection, transistor mounting and thermal 17 Sep 03 transfer principles Noise in Audio Amplifiers - An explanation of noise figures, and how circuit 29 Jan 00 noise is calculated Opamp Alternatives - A sample of the circuits that were in common use before 28 Apr 05 opamps 'took over' Power Supply Design - How to design linear power supplies - transformers, 03 Mar 01 rectifiers and filters Transistor Matching Tests - Matching Bipolars or MOSFETs for critical amplifier 08 Dec 01 applications Variable Impedance Amplifiers - How you can control the output impedance of 22 Apr 00 a power amp Loudspeaker and Crossover Design Baffle Step Compensation - What it is and why we need to compensate for it 08 Dec 01 Compliance Scaling - Fitting just about any driver to just about any alignment 30 Jun 05 Derived (Subtractive) Crossovers - An examination of these networks, and 21 Sep 05 why they are unsuitable for serious use Doppler Distortion in Loudspeakers - Is the effect real or imaginary when 23 Aug 04 applied to loudspeakers? The results may surprise you Impedance - Effects Of Source Impedance on Loudspeaker Drivers 22 Jul 01 The Linkwitz Transform Circuit - What it is, what it does and how it does it * 16 Sep 02 NTM™ Crossovers - This is a topic that has virtually zero technical information 15 Sep 05 on the Net ... until now. http://sound.westhost.com/articles.htm (4 of 6)5/29/2006 12:17:11 Elliott Sound Products - DIY Audio Articles Loudspeakers (Part I) - see the production of my latest triamped speaker boxes 14 Jul 01 unfold Loudspeakers (Part II) - The electronics that drive the 3-way system are 18 Nov 01 described Passive Crossovers - The Design of High Quality Passive Crossover Networks 05 Nov 01 Phase, Time and Distortion in Loudspeakers - Is "Time Alignment" worth the 30 Jul 02 effort? Serial vs. Parallel Crossover Networks - Are there any real differences? 14 Aug 03 Phase Correction - Myth or Magic? - Do all-pass filters really work to correct 12 Mar 04 loudspeaker phase anomalies? Thiele Small Parameters - Determining the Thiele/Small parameters for a 12 Jan 06 loudspeaker driver (Updated) Satellites & Subwoofers - Description of the little known QB5 loudspeaker 28 Aug 04 alignment. Maximum SPL from 2-way bookshelf speakers. * Subwoofer Conundrum - Some tips and hints on subwoofer selection, efficiency 12 Mar 04 and placement Explanation of Symbols ... The article is new - that must come as a surprise Less than 2 months old (typically). RED Dates in the update column indicate a new or updated (within 2 months) article. Indicates an article that may include humour - caution is advised * Contributed article (see copyright notice on article page) Main Index Please refer to Copyright information in the individual articles. All articles are Copyright © 1998 ... 2006 Rod Elliott, unless otherwise stated. My Thanks I must express my great appreciation to Geoff Moss from the UK, who has provided me with information about spelling errors, inconsistencies, and general errors in many of these articles. Geoff has done the thing that I cannot do - looked at the articles with detachment, and has spotted and brought to my attention several howling blunders as well as the general editorial help. Geoff, my sincere thanks and appreciation for what has been many hours of work. This http://sound.westhost.com/articles.htm (5 of 6)5/29/2006 12:17:11 Elliott Sound Products - DIY Audio Articles short acknowledgement is scant reward, but I really appreciate the help and assistance. In addition, I would like to thank the many readers who have pointed out various additional errors and omissions - Your help in ensuring that the information on these pages is as accurate as possible is appreciated, always! Although it goes without saying (but I will say it anyway :-) the contributed articles and projects from all over the world have added considerably to the overall value and range of topics covered in these pages, and on behalf of all the readers of The Audio Pages, I thank you for you efforts. Writing a clear and descriptive technical article is not an easy task, but your perseverance is acknowledged, and I am grateful that you have taken the time to share your knowledge. May the flow of input continue - for anyone who would like to contribute, please do not hesitate to contact me. Upcoming Articles At any given time, there are usually articles in production either by myself or contributors. It is no longer possible (or sensible) to leave hints as to what may or may not be coming, since it is so easy to get sidetracked by something new that comes along. Feel free to offer suggestions, or offer your own contribution. Total Visitors since Jan 2001 - 5322194 Last significant page update 11 Feb 2006 - rearranged each section into alphabetical order, added DIY heatsinks http://sound.westhost.com/articles.htm (6 of 6)5/29/2006 12:17:11 Active Crossovers Vs. Passive Crossovers The Audio Pages Elliott Sound Products Active Vs. Passive Crossovers Copyright © 2004 - Rod Elliott (ESP) Page Created 11 Jan 2004 Articles Index Main Index Contents l 1.0 Introduction l 2.0 How Many Ohms? m 2.1 The Crossover - a Different View m 2.2 The Active Solution m 2.3 Other Network Orders m 2.3 Zobel (and Other) Networks l 3.0 Conclusion 1.0 - Introduction In the article Benefits of Biamping, I discussed the many advantages that are to be had by using separate amplifiers for bass and mid+high. There is also a section devoted to tri-amping (for a typical 3- way system). Essentially, the ideal arrangement is to use a separate amplifier for each loudspeaker driver in the system. Although there are still many who consider this to be overkill, the advantages are so compelling that there is no reason not to adopt this approach as a matter of course. Of course, if the speaker arrangement uses two drivers in parallel (for example the well known MTM or D'Appolito topology), a single amp may drive both mid-woofers - dual amplifiers will usually not give any major benefit in this setup. One area of the original article was not covered in sufficient detail - driver control. While I firmly believe that the ideal situation is to damp a resonant body at the source, this is not always feasible or even possible. There is also the occasional driver that simply cannot be controlled from "an ohm away" - i.e. it may require that the source (amplifier) is hard-wired to the driver, with an absolute minimum of resistance or impedance between the two. Some compression drivers (for horn speakers) are an example, where even a few hundred milliohms may allow the driver to do "its own thing" rather than http://sound.westhost.com/biamp-vs-passive.htm (1 of 11)5/29/2006 12:17:15 Active Crossovers Vs. Passive Crossovers faithfully reproduce the applied signal. Driver control (AKA "damping factor" - somewhat erroneously IMO) is a much touted parameter, and is considered important by the majority of hi-fi enthusiasts/ audiophiles. Indeed, even where a defined amplifier output impedance is used (such as 4 ohms, as used in my own system), this is done to provide a specific loading to the voice coil motor to control the back-emf that is developed in any electromagnetic loudspeaker driver. The most commonly sought after figure is zero ohms, implying an infinite "damping factor", but the laws of physics conspire to make this unrealistic. However, a damping factor of (say) 100 or more is easily achieved, even with typical loudspeaker cables and amplifiers ... or is it? Figure 1.1 - Typical 2nd Order Crossover There is no attempt on my part to add impedance compensation networks, notch filters, or any of the other typical additions to the circuit, and for convenience I have used purely resistive "speaker drivers". W My one concession to a conventional design here is that I included 100m resistance in the inductors. Any additional circuitry will affect the impedance seen by the driver - in some cases it will introduce an advantage, in others a disadvantage. I shall leave it to the reader to determine the specific differences (with a little guidance, of course). One may rest assured though, that the performance changes due to extra circuitry will only modify the performance to a marginal degree - the primary issues remain unchanged. 2.0 - How Many Ohms? For the sake of this discussion, we will assume a perfect amplifier, with an output impedance of zero ohms, and zero ohm speaker cables. I know this is unrealistic, but it shows the real situation very clearly - "real" components will be worse - always! The exact parameter we will examine is the impedance "seen" by the loudspeaker driver, over a range of frequencies from well below the crossover frequency, to well above. Conventional logic indicates that http://sound.westhost.com/biamp-vs-passive.htm (2 of 11)5/29/2006 12:17:15 Active Crossovers Vs. Passive Crossovers this should be as low as possible over the entire frequency range. There has been a concerted effort by amp makers to ensure that their products output impedances are as low as possible to satisfy this requirement. Valve (tube) amps are naturally different in this respect, although that is not part of this discussion. Figure 1.1 shows the crossover connections used, and the circuit is a conventional 2-way, 2nd order (12dB/octave) Butterworth type. Note that all versions of crossover will have similar response characteristics, although there are significant differences that will be looked at a little later in this article. 2.1 - The Crossover - a Different View To see exactly what happens (and why), we need to redraw the crossover network so that it can be examined from the loudspeaker driver's perspective. As shown below, we see each section of the crossover (high and low pass). This is exactly the same crossover as shown in Figure 1.1, but redrawn. Since we are looking only at the damping, the amplifier is irrelevant and has been removed from the picture. It is assumed (along with speaker leads) to have zero impedance. Remember that for this exercise, we are looking at the impedance seen by the loudspeaker, as this has a direct effect on the ability of the amplifier to damp the back-EMF (Electro-Motive Force) from the motor assembly. The back-EMF is produced whenever the cone is moved by a current, or the current is removed or changes direction. Inertia of the cone and suspension means that it cannot move or stop instantly, so there will be "overshoot" and "undershoot" caused by the cone continuing to move after the applied current has stopped. A simple demonstration can be done to show that the speaker does indeed "generate" a voltage and current. Take a small speaker (not a tweeter), and connect it to an unused input on your preamp. Advance the gain of the amp slowly, whilst gently tapping on the cone. "Thump, thump" says your hi-fi. You can even speak into the loudspeaker, and it will act as a microphone. Be careful - if you increase the gain too far, you may get acoustic feedback - potentially at very high volume levels. This will do little for your hearing, and may also damage loudspeakers. Make sure you keep the "microphone" as far from the speakers as possible to minimise the likelihood of feedback. This simple test shows that loudspeakers do indeed generate a signal, and it is this signal that the amplifier is meant to absorb, by means of "damping factor". A back-EMF signal is generated every time your amplifier sends a signal that causes the cone to move - namely, all the time when you are listening to music (or home theatre). It is this signal that we will investigate in this article, and no other parameters. All dynamic (electro-magnetic) loudspeaker drivers do this - bar none. It should be obvious that if you short circuit the speaker that you used as a microphone, then you will hear no sound from it - this is maximum damping factor, and is what is meant to happen with your loudspeakers. The phenomenon that you have experienced by using a loudspeaker as a microphone also happens with your real speakers! The woofer will produce a signal that is picked up by the midrange or tweeter, which in turn will generate a signal. This signal should be dissipated entirely by the amplifier to prevent (as far as is possible) the cone moving in sympathy with the soundwaves. As we shall see, this cannot happen http://sound.westhost.com/biamp-vs-passive.htm (3 of 11)5/29/2006 12:17:15 Active Crossovers Vs. Passive Crossovers as it should with a passive crossover! Even electrostatic drivers will do the same thing (although by a different mechanism entirely), but their mode of operation is such that the generated signal is of extremely small amplitude (perhaps a few millivolts at the very most). We shall not concern ourselves with this. Figure 2.1 - 2nd Order Crossover Redrawn The generators in series with each "driver" in the above diagram are to simulate the back-EMF from real- world drivers, and this is exactly the equivalent circuit that exists in reality. The only difference is that I W used 8 resistors rather than the complex impedance of real drivers. This changes nothing, but makes the following graphs more comprehensible, without the wild fluctuations that would only confuse the issue. Figure 2.1 shows the crossover network as it is seen by the loudspeaker. The amplifier and speaker leads no longer exist, as they were assumed from the beginning to have zero impedance. The crossover now appears as a simple parallel LC network, with resonance tuned to the crossover frequency. For those who know what this means, the implication is obvious. For the remainder, we have a parallel tuned circuit, and with ideal components (no losses), its impedance is infinite at resonance! That means that at resonance, there is no damping whatsoever, and the "damping factor" is ... zero! But wait - there's more! Let's look at the impedance of this network over a couple of octaves below and above the crossover frequency. This gives a more balanced perspective, and we can determine the effective damping over a sensible range. The damping within the stop band (i.e. the band of frequencies the crossover network section rejects) is not so important, as the signal applied to the driver is minimal anyway. There is still the potential for considerable energy within the first octave above the crossover frequency (X) for a low pass section, and an octave below for a high pass section, so this is still of some f importance. Figure 2.2 shows the impedance curve of a 2kHz XO, looking backwards from the loudspeaker into its crossover section. I have shown the low and high pass sections here, but they cannot be separated because they are identical (as one would expect, since the inductance and capacitance are in parallel in both cases). There may be small differences with real components having some tolerance, but they do http://sound.westhost.com/biamp-vs-passive.htm (4 of 11)5/29/2006 12:17:15